WarmUp
Algebra
Running in Circles
A Number of Secrets
Logically Puzzling
100

What is the probability of rolling a prime number on a 6-sided die?

1/2

100

Multiplication is repeated addition. Exponentiation is repeated ____?

repeated multiplication

100

What is the result of dividing the circumference of a circle by its radius?

pi

100

What sets of numbers do the following number belong to? (Rational/ Irrational)

sqrt(2)

Irrational

100

Two fathers took their sons fishing. Each person caught one fish, but when they returned to camp, there were only 3 fish. How could this be?

A boy, his father, and his grandfather went fishing.

200

You have 4 shirts, 5 pairs of pants and 3 pairs of shoes to choose from. How many outfits can you make?

3x4x5=60
200

Solve for the x in the following equation: 15 + 2x = 7x

x=3

200

What is the area of a quarter of a circle with radius 4?

4 pi 

200

How many prime numbers are there between 10 and 30?

6 prime numbers: (11,13,17,19,23,29)

200

It is noon and John wants to go get lunch at Subway. But, there is a terrible snowstorm outside and it is impossible for him to drive there. However, the forecast says that the snow will turn into hail and it will hail the rest of the day. How can you determine whether the sun will be shining 36 hours from now?

It will be midnight in 36 hours therefore the sun will not be shining.

300

What is the next term in the following sequence? {0,1,1,2,3,5,8,13,21,34}

55

300

Express the following as a power of 2^4 ×7^0 ×2^6/ 2^3

2^7

300

The circumference of a circle is 10π. What is its area?

25 pi

300

Decode this message that has been encrypted with an Atbash Cipher.

Gsv ovzevh ziv uzoormt

The leaves are falling

300

How many people would we need in this room to guarantee that two people have the same birthday?

367

400

What type of sequence is this? What is the 11th term? {3,9,15,21}

Arithmetic. d = 6

3 + (11-1)x6 = 63

400

Solve for x in the following equation: x + 3 × 4 + x = (40 − 6) ÷ 2

x = 5/2
400

In the diagram, each circle is divided into two equal areas and O is the centre of the larger circle. The radius of the larger circle is 8. What is the total area of the shaded regions?

40 pi

400

Decrypt the following message with Pigpen Cipher:


ALEX TREBEK

400

Given the equivalences, whats the missing number?

12 = 6

6 = 3

5 =?

the answer is not 2.5

4

500

You are hired by your friend to help build a shed for 5 weeks. You are paid $11 the first week. Every week after you are paid twice as much as the week before. How much money will you make in total?

11 + 22 + 44 + 88 + 176 = 341

500

A rectangle has side lengths (x+4) and (x-2), the perimeter of the rectangle is 56 units. What is its area?

11 x 17 =187

500

Given the following diagram, which has the larger circumference?

Equal!

500

Police are attempting to identify the name of a doctor. They have found a document with what they believe to be the doctors name on it but it has been encrypted with a Caesar Shift. The encryption of the doctors name looks as follows:

5

Dr. Bill Williams.

500

Use exactly four 4s (and no other numbers) to make the numbers 7 and 3. You can use any combination of operations/tools.

3 : (4 + 4 + 4) ÷ 4

7 : 4 + 4 − 4 /4